REVIEW 6 cited by
Renormalisation of \phi^4-theory on noncommutative R^4 in the matrix base
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We prove that the real four-dimensional Euclidean noncommutative \phi^4-model is renormalisable to all orders in perturbation theory. Compared with the commutative case, the bare action of relevant and marginal couplings contains necessarily an additional term: an harmonic oscillator potential for the free scalar field action. This entails a modified dispersion relation for the free theory, which becomes important at large distances (UV/IR-entanglement). The renormalisation proof relies on flow equations for the expansion coefficients of the effective action with respect to scalar fields written in the matrix base of the noncommutative R^4. The renormalisation flow depends on the topology of ribbon graphs and on the asymptotic and local behaviour of the propagator governed by orthogonal Meixner polynomials.
Forward citations
Cited by 6 Pith papers
-
UV/IR mixing as an artifact of non-covariant quantisation
UV/IR mixing in noncommutative scalar field theories is shown to be an artifact of a non-covariant quantization choice rather than an intrinsic feature of noncommutativity.
-
From path integral quantization to stochastic quantization: a pedestrian's journey
Two novel proofs establish equivalence between path integral and stochastic quantizations for scalar Euclidean QFTs via forest-indexed Taylor interpolations.
-
IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
In noncommutative Yukawa theory, the CPT-required pair of interaction orderings converts the one-loop ultraviolet quadratic divergence into an infrared pole that is reachable in the s-channel.
-
Solution of the self-dual $\Phi^4$ QFT-model on four-dimensional Moyal space
The planar sector of the self-dual Φ^4 model on 4D Moyal space is solved in closed form by a hypergeometric function, and the model's spectral dimension is proven to be 4 - (2/π) arcsin(λπ).
-
Geometric noise spectrum in interferometers
The noise spectrum an interferometer would see from quantum spacetime jitter is computed for vacuum, thermal, squeezed, and scalar-backreaction states; all are Planck-suppressed.
-
Relationship between a $\Phi^4$ matrix model and harmonic oscillator systems
The paper gives a free-energy formula for Virasoro eigenstates and a connected-correlator form of the Schwinger-Dyson equation for the Phi^4 matrix model with Kontsevich-type kinetic term.
Discussion (0). Continue with ORCID to comment.